25 citations · 214 across the 39 of their papers we have counts for
45 papers
New time domain decomposition methods for parabolic control problems I: Dirichlet-Neumann and Neumann-Dirichlet algorithms
Martin Jakob Gander, Liu-Di Lu
We present new Dirichlet-Neumann and Neumann-Dirichlet algorithms with a time domain decomposition applied to unconstrained parabolic optimal control problems. After a spatial semi…
Dirichlet-Neumann and Neumann-Neumann Methods for Elliptic Control Problems
Martin Jakob Gander, Liu-Di Lu
We present the Dirichlet-Neumann (DN) and Neumann-Neumann (NN) methods applied to the optimal control problems arising from elliptic partial differential equations (PDEs) under the…
Cross-points in the Dirichlet-Neumann method II: a geometrically convergent variant
Bastien Chaudet-Dumas, Martin J. Gander
When considered as a standalone iterative solver for elliptic boundary value problems, the Dirichlet-Neumann (DN) method is known to converge geometrically for domain decomposition…
A new ParaDiag time-parallel time integration method
Martin J. Gander, Davide Palitta
Time-parallel time integration has received a lot of attention in the high performance computing community over the past two decades. Indeed, it has been shown that parallel-in-tim…
An optimized Space-Time Multigrid algorithm for parabolic PDEs
Bastien Chaudet-Dumas, Martin J. Gander, Ausra Pogozelskyte
We investigate three directions to further improve the highly efficient Space-Time Multigrid algorithm with block-Jacobi smoother introduced in [GanNeu16]. First, we derive an anal…
Cross-points in the Neumann-Neumann method
Bastien Chaudet-Dumas, Martin J. Gander
In this work, we focus on the Neumann-Neumann method (NNM), which is one of the most popular non-overlapping domain decomposition methods. Even though the NNM is widely used and pr…